Question

A regular pentagon has an apothem measuring 20 cm and a perimeter of 145.3 cm. What is the area?

Answer 1

Hi,

The pentagon could be seen as a multiple of 5 triangles, they are exactly the same.

Area of a triangle is apothem x the lenght of the pentagon side / 2.

The area of the whole pentagon is apothem x 5 times the lenght of the pentagon side / 2 = apothem x perimeter / 2 = 20 cm x 145,3 cm / 2 = 1,453 cm².

Easy, huh ? :-))).

Green eyes.

Answer 2

Based on the information given, it should be noted that the area of the polygon is 1453 cm.

• From the information given, it was stated that a regular pentagon has an apothem measuring 20cm and a perimeter of 145.3cm.

Therefore, the area will be:

= 1/2 × Apothem × Perimeter

= 1/2 × 20 × 145.3

= 1453cm

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